You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? O No, they are not Mutually Exclusive O Yes, they are Mutually Exclusive d. Are A and B independent events? O They are Independent events O They are not Independent events

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 19E
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You roll two six-sided fair dice.
a. Let A be the event that either a 4 or 5 is rolled first followed by an even number.
P(A) =
Round your answer to four decimal places.
b. Let B be the event that the sum of the two dice is at most 5.
P(B) =
Round your answer to four decimal places.
c. Are A and B mutually exclusive events?
O No, they are not Mutually Exclusive
Yes, they are Mutually Exclusive
d. Are A and B independent events?
They are Independent events
O They are not Independent events
Transcribed Image Text:You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? O No, they are not Mutually Exclusive Yes, they are Mutually Exclusive d. Are A and B independent events? They are Independent events O They are not Independent events
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